已知椭圆x²/25+y²/16=1,△ABC是椭圆

已知椭圆x²/25+y²/16=1,△ABC是椭圆的内接三角形,点A是椭圆的上定点,此椭圆的右焦点F是△ABC的重心,求

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a² = 25, b² = 16, A(0, 4)c² = 25 - 16 = 9, F(3, 0)令BC的中点为D(p, q), 根据重心的性质: |AF| = 2|FD|, 且(0 - 3)/(3 - p) = 2, p = 9/2(4 - 0)/(0 - q) = 2, q = -2令B(m, n), C(u, v...